The data below represents the three year rate of return (in percent) for a simple random sample of 40 small capitalization growth mutual funds. 27.4, 16.7, 10.8, 24.1, 35.9, 12.7, 28.5, 22.2, 18.4, 17.4, 22.6, 29.6, 11.6, 45.9, 16.6, 32.1, 47.7, 10.9, 18.4, 23.3, 18.2, 32.0, 25.5, 23.7, 38.1, 23.7, 14.7, 12.8, 31.1, 21.9, 18.4, 21.3, 27.0, 19.6, 15.8, 14.7, 37.0, 19.2, 18.5, 29.1

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

answer: 180 degrees clockwise

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